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826819825 = 52132195697
BaseRepresentation
bin110001010010000…
…100010011110001
32010121210210120111
4301102010103301
53143131213300
6214013341321
726326565266
oct6122042361
92117723514
10826819825
11394799a77
121b0a97841
131023b3500
147bb4b26d
154c8c39ba
hex314844f1

826819825 has 18 divisors (see below), whose sum is σ = 1110194754. Its totient is φ = 610571520.

The previous prime is 826819813. The next prime is 826819849. The reversal of 826819825 is 528918628.

It can be written as a sum of positive squares in 9 ways, for example, as 667757281 + 159062544 = 25841^2 + 12612^2 .

It is not a de Polignac number, because 826819825 - 215 = 826787057 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93624 + ... + 102073.

Almost surely, 2826819825 is an apocalyptic number.

It is an amenable number.

826819825 is a deficient number, since it is larger than the sum of its proper divisors (283374929).

826819825 is a wasteful number, since it uses less digits than its factorization.

826819825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195733 (or 195715 counting only the distinct ones).

The product of its digits is 552960, while the sum is 49.

The square root of 826819825 is about 28754.4748691399. The cubic root of 826819825 is about 938.5778347193.

The spelling of 826819825 in words is "eight hundred twenty-six million, eight hundred nineteen thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 195697 978485 2544061 4892425 12720305 33072793 63601525 165363965 826819825